具有时滞的两种群疟疾模型的稳定性和Hopf分支

Q3 Mathematics

Letters in Biomathematics Pub Date : 2017-01-01 DOI:10.1080/23737867.2017.1296383

E. Agyingi, T. Wiandt, M. Ngwa

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引用次数: 3

摘要

我们提出了两种具有时滞的疟疾传播动力学的数学模型。该模型同样适用于一种疟疾的两种菌株。得到了这两个种群的繁殖数，并将其作为阈值参数来研究模型平衡点的稳定性和分岔。我们发现，当每个物种的繁殖数量小于1时，该模型具有无疾病平衡，即全局吸引子。此外，我们观察到该模型的非疾病平衡包含稳定性开关，并且当延迟超过临界值时发生Hopf分岔。

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Stability and Hopf bifurcation of a two species malaria model with time delays

We present a mathematical model of the transmission dynamics of two species of malaria with time lags. The model is equally applicable to two strains of a malaria species. The reproduction numbers of the two species are obtained and used as threshold parameters to study the stability and bifurcations of the equilibria of the model. We find that the model has a disease free equilibrium, which is a global attractor when the reproduction number of each species is less than one. Further, we observe that the non-disease free equilibrium of the model contains stability switches and Hopf bifurcations take place when the delays exceed the critical values.

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来源期刊

Letters in Biomathematics Mathematics-Statistics and Probability

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

14 weeks